Details

sample19.0ms

Algorithm

intervals

Results

6.0ms	240×	body	80	valid
1.0ms	9×	body	1280	valid
0.0ms	4×	body	640	valid
0.0ms	2×	body	2560	valid
0.0ms	3×	body	320	valid

simplify287.0ms

Counts: 1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (+ (+ (+ x y) y) x) z) x)
0.0b	(+ (+ (+ x y) y) x)
0.0b	(+ (+ x y) y)

rewrite2.3s

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity` `add-log-exp`
24×	`sum-log` `distribute-lft-out`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

3 → 53

Calls

3 calls:

2.1s	(+ (+ (+ (+ (+ x y) y) x) z) x)
131.0ms	(+ (+ (+ x y) y) x)
29.0ms	(+ (+ x y) y)

series88.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ (+ (+ (+ (+ x y) y) x) z) x)
36.0ms	(+ (+ (+ x y) y) x)
26.0ms	(+ (+ x y) y)

simplify29.0ms

Counts: 62 → 62

prune109.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (+ (+ x (+ y y)) x) z) x)
0.0b	(+ (+ x (+ y y)) x)

rewrite2.0s

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity` `add-log-exp`
21×	`sum-log` `distribute-lft-out`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

2 → 38

Calls

2 calls:

1.9s	(+ (+ (+ (+ x (+ y y)) x) z) x)
115.0ms	(+ (+ x (+ y y)) x)

series60.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(+ (+ (+ (+ x (+ y y)) x) z) x)
35.0ms	(+ (+ x (+ y y)) x)

simplify97.0ms

Counts: 44 → 44

prune75.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ x (+ y y)) x)) (cbrt (+ (+ x (+ y y)) x)))
0.5b	(cbrt (+ (+ x (+ y y)) x))
0.5b	(cbrt (+ (+ x (+ y y)) x))
0.5b	(cbrt (+ (+ x (+ y y)) x))

rewrite709.0ms

Algorithm

rewrite-expression-head

Rules

138×	`*-un-lft-identity`
78×	`distribute-lft-out`
70×	`cbrt-prod`
23×	`add-sqr-sqrt`
21×	`swap-sqr`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `associate-r` `associate-l` `flip-+`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 117

Calls

4 calls:

511.0ms	(* (cbrt (+ (+ x (+ y y)) x)) (cbrt (+ (+ x (+ y y)) x)))
63.0ms	(cbrt (+ (+ x (+ y y)) x))
64.0ms	(cbrt (+ (+ x (+ y y)) x))
65.0ms	(cbrt (+ (+ x (+ y y)) x))

series921.0ms

Counts

4 → 12

Calls

4 calls:

263.0ms	(* (cbrt (+ (+ x (+ y y)) x)) (cbrt (+ (+ x (+ y y)) x)))
218.0ms	(cbrt (+ (+ x (+ y y)) x))
215.0ms	(cbrt (+ (+ x (+ y y)) x))
225.0ms	(cbrt (+ (+ x (+ y y)) x))

simplify39.0ms

Counts: 129 → 129

prune310.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (+ x (+ y y)) x))
0.5b	(cbrt (+ (+ x (+ y y)) x))
0.5b	(cbrt (+ (+ x (+ y y)) x))
0.6b	(cbrt (cbrt (+ (+ x (+ y y)) x)))

rewrite257.0ms

Algorithm

rewrite-expression-head

Rules

45×	`*-un-lft-identity`
33×	`cbrt-prod`
24×	`distribute-lft-out`
10×	`cbrt-div`
9×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 67

Calls

4 calls:

62.0ms	(cbrt (+ (+ x (+ y y)) x))
62.0ms	(cbrt (+ (+ x (+ y y)) x))
62.0ms	(cbrt (+ (+ x (+ y y)) x))
69.0ms	(cbrt (cbrt (+ (+ x (+ y y)) x)))

series1.0s

Counts

4 → 12

Calls

4 calls:

282.0ms	(cbrt (+ (+ x (+ y y)) x))
219.0ms	(cbrt (+ (+ x (+ y y)) x))
224.0ms	(cbrt (+ (+ x (+ y y)) x))
291.0ms	(cbrt (cbrt (+ (+ x (+ y y)) x)))

simplify70.0ms

Counts: 79 → 79

prune321.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes83.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample610.0ms

Algorithm

intervals

Results

323.0ms	7426×	body	80	valid
20.0ms	177×	body	1280	valid
17.0ms	177×	body	640	valid
10.0ms	143×	body	320	valid
5.0ms	34×	body	2560	valid
3.0ms	59×	body	160	valid